A Quebec manufacturer of silicon computer chips have had many returns of their products with complaints of too much variation in resistance across the chips. As a senior data analyst in the company you are required to do an audit of chip performance. The quality control department has randomly sampled 12 chips from a batch of several hundred chips, and measured the resistance from two different positions on each chip. See Table below:

Chip	1	2	3	4	5	6	7	8	9	10	11	12
Pos. 1	6.11	5.60	4.95	5.90	5.57	5.83	5.46	6.23	5.63	6.02	6.12	5.55
Pos. 2	6.33	5.91	5.42	5.67	5.96	6.12	5.08	6.84	6.36	6.88	6.61	6.13
Diff.	-0.22	-0.31	-0.47	0.23	-0.39	-0.29	0.38	-0.61	-0.73	-0.86	-0.49	-0.58

You are required to determine with 97% confidence is the mean difference in the resistance values is significant.

1. What is the appropriate test to apply to this problem? Explain why it is appropriate and the statistical assumptions that apply.

b. Can you showwith 97% confidence if there is mean difference in the resistance values?